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111114 = 2326173
BaseRepresentation
bin11011001000001010
312122102100
4123020022
512023424
62214230
7641643
oct331012
9178370
10111114
1176533
1254376
133b763
142c6ca
1522dc9
hex1b20a

111114 has 12 divisors (see below), whose sum is σ = 240786. Its totient is φ = 37032.

The previous prime is 111109. The next prime is 111119. The reversal of 111114 is 411111.

It is an interprime number because it is at equal distance from previous prime (111109) and next prime (111119).

It can be written as a sum of positive squares in only one way, i.e., 110889 + 225 = 333^2 + 15^2 .

It is a super-3 number, since 3×1111143 = 4115547333448632, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a plaindrome in base 10.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 111096 and 111105.

It is not an unprimeable number, because it can be changed into a prime (111119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3069 + ... + 3104.

2111114 is an apocalyptic number.

111114 is an abundant number, since it is smaller than the sum of its proper divisors (129672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111114 is a wasteful number, since it uses less digits than its factorization.

111114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181 (or 6178 counting only the distinct ones).

The product of its digits is 4, while the sum is 9.

The square root of 111114 is about 333.3376666385. The cubic root of 111114 is about 48.0754023232.

Adding to 111114 its reverse (411111), we get a palindrome (522225).

It can be divided in two parts, 11111 and 4, that multiplied together give a palindrome (44444).

The spelling of 111114 in words is "one hundred eleven thousand, one hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 6173 12346 18519 37038 55557 111114